Re: no a/c
Capacitor is to start/run the a/c.
Coolness is dependant on freon and compressor (and how you dress/talk/act).
If the fan runs and the compessor doesn't - no cool.
Make sre the compressor is kicking in.
Sometimes a new capacitor (as you did) will solve compressor issues, if the old capacitor was bad or the compressor is getting weak. If the compressor isn't kicking in, give it a good whack with a hammer (a GOOD whack) and see if it will kick in. Sometimes as they go bad they will hang up.
If still no-go, chances are compressor is shot.
You said it is a '10, so it isn't that old, but probably out of warrenty. If not, take it in!
Sorry not better news. They are easy to replace, but new ones are expensive.
Check on-line for a used one. I picked a "never used" used one for $100 last year.
Works great (and it is in the 100's here now).
Mike